Question 1

The ratio of ages of three friends Aman, Bimal, and Chetan is 2:3:4. If the sum of their ages is 36 years, what is Chetan's age?

Accepted Answer

Step 1: Let the ages of Aman, Bimal, and Chetan be 2x, 3x, and 4x respectively (from ratio 2:3:4). Step 2: Sum of their ages = 2x + 3x + 4x = 36. Step 3: 9x = 36. Step 4: x = 4. Step 5: Chetan's age = 4x = 4(4) = 16 years.

Question 2

The ratio of ages of Mohan and Sohan is 7:5. After 4 years, their ratio will be 9:7. What is Mohan's current age?

Accepted Answer

Step 1: Let Mohan's current age = 7x and Sohan's current age = 5x (from ratio 7:5). Step 2: After 4 years, Mohan's age = 7x + 4 and Sohan's age = 5x + 4. Step 3: After 4 years, the ratio is 9:7, so (7x + 4):(5x + 4) = 9:7. Step 4: Cross-multiply: 7(7x + 4) = 9(5x + 4). Step 5: 49x + 28 = 45x + 36. Step 6: 4x = 8, so x = 2. Step 7: Mohan's current age = 7x = 7(2) = 14 years.

Question 3

Ravi's age is 3/4 of Sanjay's age. If the difference between their ages is 5 years, what is Ravi's current age?

Accepted Answer

Step 1: Let Sanjay's age = S and Ravi's age = R. Step 2: Given that R = (3/4)S. Step 3: Given that the difference between their ages is 5 years, so S - R = 5 (since Sanjay is older). Step 4: Substitute R = (3/4)S into the difference equation: S - (3/4)S = 5. Step 5: (1/4)S = 5. Step 6: S = 20 years. Step 7: R = (3/4) × 20 = 15 years.

Question 4

The ages of Gita and Hema are in the ratio 4:3. After 6 years, their ages will be in the ratio 6:5. What is Gita's current age?

Accepted Answer

Step 1: Let Gita's current age = 4x and Hema's current age = 3x. Step 2: After 6 years, Gita's age = 4x + 6 and Hema's age = 3x + 6. Step 3: The ratio after 6 years is (4x + 6):(3x + 6) = 6:5. Step 4: Cross-multiply: 5(4x + 6) = 6(3x + 6). Step 5: 20x + 30 = 18x + 36. Step 6: 2x = 6, so x = 3. Step 7: Gita's current age = 4x = 4 × 3 = 12 years.

Question 5

The sum of the ages of Karan and Leela is 48 years. Their ages are in the ratio 5:3. What is the difference between their ages?

Accepted Answer

Step 1: Let Karan's age = 5x and Leela's age = 3x. Step 2: The sum of their ages is 5x + 3x = 8x = 48. Step 3: Solving, x = 6. Step 4: Karan's age = 5x = 5 × 6 = 30 years and Leela's age = 3x = 3 × 6 = 18 years. Step 5: The difference = 30 - 18 = 12 years.

Question 6

The ratio of ages of Esha and Faisal is 7:5. The difference between their ages is 8 years. What is Esha's age?

Accepted Answer

Step 1: Let Esha's age = 7x and Faisal's age = 5x. Step 2: The difference is 7x - 5x = 2x = 8 years. Step 3: Solving, x = 4. Step 4: Esha's age = 7x = 7 × 4 = 28 years.

Question 7

Five years ago, the ratio of Priya's age to Deepak's age was 4:5. If Deepak is currently 35 years old, what is Priya's current age?

Accepted Answer

Step 1: Deepak's current age = 35 years. Step 2: Five years ago, Deepak's age = 35 - 5 = 30 years. Step 3: Five years ago, ratio of Priya's age to Deepak's age = 4:5. Step 4: If Deepak's age 5 years ago was 30, then 30 corresponds to the '5' part of the ratio. Step 5: One part = 30 ÷ 5 = 6 years. Step 6: Priya's age 5 years ago = 4 × 6 = 24 years. Step 7: Priya's current age = 24 + 5 = 29 years.

Question 8

Isha is 8 years older than Jaya. The ratio of their ages is 5:3. What is Jaya's age?

Accepted Answer

Step 1: Let Jaya's age = 3x and Isha's age = 5x. Step 2: Isha is 8 years older than Jaya, so 5x - 3x = 8. Step 3: 2x = 8, which gives x = 4. Step 4: Jaya's age = 3x = 3 × 4 = 12 years.

Question 9

Five years ago, the ratio of Chirag's age to Deepa's age was 3:2. If Chirag is currently 20 years old, what is Deepa's current age?

Accepted Answer

Step 1: Five years ago, Chirag's age was 20 - 5 = 15 years. Step 2: Let Deepa's age five years ago be 2x. Then Chirag's age five years ago was 3x. Step 3: So 3x = 15, which gives x = 5. Step 4: Deepa's age five years ago was 2x = 2 × 5 = 10 years. Step 5: Deepa's current age = 10 + 5 = 15 years.

Question 10

The ratio of the ages of Arun and Bhavna is 5:3. If Arun is 20 years old, what is Bhavna's age?

Accepted Answer

Step 1: Let Arun's age = 5x and Bhavna's age = 3x. Step 2: Given Arun is 20 years old, so 5x = 20, which gives x = 4. Step 3: Bhavna's age = 3x = 3 × 4 = 12 years.

Question 11

Gita's age is twice Hema's age. Three years from now, Gita's age will be 5 years more than 1.5 times Hema's age at that time. What is Hema's current age?

Accepted Answer

Step 1: Let Hema's current age = H. Then Gita's current age = 2H (given Gita's age is twice Hema's). Step 2: After 3 years, Hema's age = H + 3 and Gita's age = 2H + 3. Step 3: Given that Gita's age after 3 years = 1.5 × (Hema's age after 3 years) + 5. Step 4: 2H + 3 = 1.5(H + 3) + 5. Step 5: 2H + 3 = 1.5H + 4.5 + 5. Step 6: 2H + 3 = 1.5H + 9.5. Step 7: 2H - 1.5H = 9.5 - 3. Step 8: 0.5H = 6.5, so H = 13 years.

Question 12

The ratio of the present ages of Arun and Bhavna is 5:3. If Arun is 20 years older than Bhavna, what is Bhavna's present age?

Accepted Answer

Step 1: Let Arun's age = 5x and Bhavna's age = 3x (from ratio 5:3). Step 2: Given that Arun is 20 years older than Bhavna, so 5x - 3x = 20. Step 3: 2x = 20, therefore x = 10. Step 4: Bhavna's age = 3x = 3(10) = 30 years.

Question 13

The ratio of ages of Kavya and Neha is 7:5. Four years hence, the ratio of their ages will be 11:8. What is Kavya's current age?

Accepted Answer

Step 1: Let Kavya's current age = 7x and Neha's current age = 5x. Step 2: After 4 years, Kavya's age = 7x + 4 and Neha's age = 5x + 4. Step 3: Given, (7x + 4):(5x + 4) = 11:8. Step 4: Cross-multiply: 8(7x + 4) = 11(5x + 4). Step 5: 56x + 32 = 55x + 44. Step 6: x = 12. Step 7: Kavya's current age = 7 × 12 = 84 years. Therefore, the answer is 84 years.

Question 14

The ratio of Isha's age to Jaya's age is 7:5. If the sum of their ages is 48 years, what will be Isha's age after 6 years?

Accepted Answer

Step 1: Let Isha = 7m, Jaya = 5m. Step 2: 7m + 5m = 48 → 12m = 48 → m = 4. Step 3: Isha = 7(4) = 28. Step 4: After 6 years = 28 + 6 = 34.

Question 15

Gita is currently 8 years older than Hema. In 4 years, Gita's age will be 1.5 times Hema's age. What is Hema's present age?

Accepted Answer

Step 1: Let Hema's age = h, Gita's age = h + 8. Step 2: In 4 years: Hema = h+4, Gita = h+12. Step 3: h+12 = 1.5(h+4) → h+12 = 1.5h+6 → 6 = 0.5h → h = 12.

Question 16

Five years ago, the ratio of Chitra's age to Deepak's age was 4:5. In 10 years, the ratio will be 6:7. What is Deepak's present age?

Accepted Answer

Step 1: Let Chitra's age 5 years ago = 4y and Deepak's age 5 years ago = 5y. Step 2: Chitra's present age = 4y + 5 and Deepak's present age = 5y + 5. Step 3: In 10 years, Chitra's age = 4y + 15 and Deepak's age = 5y + 15. Step 4: According to the condition, (4y + 15)/(5y + 15) = 6/7. Step 5: Cross-multiply: 7(4y + 15) = 6(5y + 15). Step 6: 28y + 105 = 30y + 90. Step 7: -2y = -15, so y = 7.5. Step 8: Deepak's present age = 5y + 5 = 5(7.5) + 5 = 42.5 years.

Question 17

The ratio of the present ages of Arun and Bhavna is 5:3. After 6 years, the ratio of their ages will be 7:5. What is Arun's present age?

Accepted Answer

Step 1: Let Arun's present age = 5x and Bhavna's present age = 3x. Step 2: After 6 years, Arun's age = 5x + 6 and Bhavna's age = 3x + 6. Step 3: According to the condition, (5x + 6)/(3x + 6) = 7/5. Step 4: Cross-multiply: 5(5x + 6) = 7(3x + 6). Step 5: 25x + 30 = 21x + 42. Step 6: 4x = 12, so x = 3. Step 7: Arun's present age = 5x = 5(3) = 15 years.

Question 18

The ratio of Esha's age to Faisal's age is 3:4. If Esha is 9 years younger than Faisal, what will be the ratio of their ages after 15 years?

Accepted Answer

Step 1: Let Esha's age = 3k and Faisal's age = 4k. Step 2: From 4k - 3k = 9, we get k = 9. Step 3: Esha = 27 years, Faisal = 36 years. Step 4: After 15 years: Esha = 42, Faisal = 51. Step 5: Ratio = 42:51 = 14:17.

Question 19

The ages of Rohan and Sohan are in the ratio 3:4. If the sum of their ages is 56 years, what will be Rohan's age after 8 years?

Accepted Answer

Step 1: Let Rohan's age = 3x and Sohan's age = 4x. Step 2: Sum of ages = 3x + 4x = 56. Step 3: 7x = 56, so x = 8. Step 4: Rohan's current age = 3 × 8 = 24 years. Step 5: Rohan's age after 8 years = 24 + 8 = 32 years. Therefore, the answer is 32 years.

Question 20

Karan's age is 2/3 of Leela's age. After 12 years, Karan's age will be 3/4 of Leela's age. What is the difference between their present ages?

Accepted Answer

Step 1: Let Leela = L, Karan = (2/3)L. Step 2: After 12 years: (2/3)L+12 = (3/4)(L+12). Step 3: (2/3)L+12 = (3/4)L+9 → 3 = (3/4)L-(2/3)L = (1/12)L → L = 36. Step 4: Karan = 24. Difference = 12.

RRB NTPC Ages Problems

Ages Problems— Rules & Concept

Key Points to Remember

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Ages Problems — Practice Questions

60-Second Revision — Ages Problems